Re: why doesn't the range on this interval match the plot range?

*To*: mathgroup at smc.vnet.net*Subject*: [mg66432] Re: [mg66394] why doesn't the range on this interval match the plot range?*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Fri, 12 May 2006 02:03:19 -0400 (EDT)*Reply-to*: hanlonr at cox.net*Sender*: owner-wri-mathgroup at wolfram.com

Parabola[x_]=4x^2+53x+160; BeginPoint=-8; EndPoint=-5; Plot[Parabola[x],{x,BeginPoint,EndPoint}]; Carry out the interval operations step-by-step to see why it should not be the range. xi=Interval[{BeginPoint,EndPoint}]; 4xi^2 Interval[{100,256}] 53xi Interval[{-424,-265}] %+%%+160 Interval[{-164,151}] The range is Off[Maximize::wksol]; #[{Parabola[x],BeginPoint<x<EndPoint}, x][[1]]&/@{Minimize,Maximize} {-(249/16), -5} Bob Hanlon ---- Chris Chiasson <chris at chiasson.name> wrote: > Parabola[x_]=4x^2+53x+160 > BeginPoint=-8; > EndPoint=-5; > Plot[Parabola[x],{x,BeginPoint,EndPoint}] > Parabola[Interval[{BeginPoint,EndPoint}]] > > -- > http://chris.chiasson.name/ >